Is 1261 a prime number?
No, 1261 is not a prime number. It is divisible by 13: 1261 = 13 × 97.
Is 1261 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √1261 ≈ 35.51. If none of them divides 1261, it is prime.
- 3
13 divides 1261 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1261 = 13 \times 97 \]
Testing 1261 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1261 ÷ 2 | leaves 1 |
| 3 | 1261 ÷ 3 | leaves 1 |
| 5 | 1261 ÷ 5 | leaves 1 |
| 7 | 1261 ÷ 7 | leaves 1 |
| 11 | 1261 ÷ 11 | leaves 7 |
| 13 | 1261 ÷ 13 | divides exactly (97) |
| 17 | 1261 ÷ 17 | leaves 3 |
| 19 | 1261 ÷ 19 | leaves 7 |
| 23 | 1261 ÷ 23 | leaves 19 |
| 29 | 1261 ÷ 29 | leaves 14 |
| 31 | 1261 ÷ 31 | leaves 21 |
Questions
Is 1261 a prime number?
No, 1261 is not a prime number. It is divisible by 13: 1261 = 13 × 97.
What is the next prime after 1261?
1277.
What is the prime number before 1261?
1259.
What are the factors of 1261?
1, 13, 97, 1261.